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Finding the Third Proportional to 95,896.50 and 148,620

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Solution

The third proportional to 95,896.50 and 148,620 is: 230,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896.50 : 148,620 = 148,620 : x
  2. Step 2: Convert to fraction form
    95,896.50/148,620 = 148,620/x
  3. Step 3: Cross multiply
    95,896.50x = 148,620 × 148,620
  4. Step 4: Simplify right side
    95,896.50x = 22,087,904,400
  5. Step 5: Solve for x
    x = 22,087,904,400/95,896.50
  6. Step 6: Final answer
    x = 230,330.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.